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It does not mean anything except that it is called a 'Vulgar (or common) Fraction'. It can be mathematically converted into a Decimal Fraction by dividing the numerator , by the denominator. EG. 4 divided by 9 = 0.44444 repeating. It simply means that it it is an Indeterminate quantity and no matter how many times you keep dividing it, there will always be a remainder. It is quite OK to say that 4/9 = 0.4 repeating. You don't have to use more than 1 figure 4 after the decimal point because they will all repeat the same as the first number after the point.

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Q: What does four ninths mean in a terminating or repeating decimal?
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